Greatest Common Factor of 4219/570, 5712/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4219/570, 5712/135

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4219/570,5712/135

Given fractions are 4219/570,5712/135

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4219,5712

Greatest Common Factor of Numerators i.e. GCF of 4219,5712 is 1 .

LCM of Denominators means LCM of 570,135 as per the given fractions.

LCM of 570,135 is 5130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4219,5712

GCF of Fractions 4219/570,5712/135 is 1/5130

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4219,5712 By Matching Biggest Common Factor Method

Greatest Common Factor of 4219,5712 By Matching Biggest Common Factor Method

Factors of 4219

List of positive integer factors of 4219 that divides 4219 without a remainder.

1,4219

Factors of 5712

List of positive integer factors of 5712 that divides 5712 without a remainder.

1,2,3,4,6,7,8,12,14,16,17,21,24,28,34,42,48,51,56,68,84,102,112,119,136,168,204,238,272,336,357,408,476,714,816,952,1428,1904,2856,5712

Greatest Common Factor

We found the factors 4219,5712 . The biggest common factor number is the GCF number.
So the greatest common factor 4219,5712 is 1.

Lets's calculate LCM of 570,135

3 570, 135
5 190, 45
38, 9

∴ So the LCM of the given numbers is 3 x 5 x 38 x 9 = 5130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5130

Therefore, the GCF of Fractions 4219/570,5712/135 is 1/5130

Least Common Multiple of 570,135 with GCF Formula

Least Common Multiple of 570,135 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 570,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,135) = 15

common factors(in case of two or more numbers have common factors) = 1

GCF(570,135) x common factors =15 x 1 = 15

LCM(570,135) = ( 570 × 135 ) / 15

LCM(570,135) = 76950 / 15

LCM(570,135) = 5130


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4219/570, 5712/135

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 4219/570, 5712/135?

Answer: GCF of Numerators as per given numbers 4219/570, 5712/135 is

GCF of Numerators i.e. for 4219,5712 is 1

LCM of denominators i.e. for 570,135 is 5130.

Thus, GCF of Fractions is 1/5130.Finally, GCF of Fractions for 4219/570, 5712/135 is 1/5130.